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Simplifying -5(1 + r) = 10 + -8r (1 * -5 + r * -5) = 10 + -8r (-5 + -5r) = 10 + -8r Solving -5 + -5r = 10 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -5 + -5r + 8r = 10 + -8r + 8r Combine like terms: -5r + 8r = 3r -5 + 3r = 10 + -8r + 8r Combine like terms: -8r + 8r = 0 -5 + 3r = 10 + 0 -5 + 3r = 10 Add '5' to each side of the equation. -5 + 5 + 3r = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 3r = 10 + 5 3r = 10 + 5 Combine like terms: 10 + 5 = 15 3r = 15 Divide each side by '3'. r = 5 Simplifying r = 5
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